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Finding the Third Proportional to 270,032 and 590,920

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Solution

The third proportional to 270,032 and 590,920 is: 1,293,129.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,032 : 590,920 = 590,920 : x
  2. Step 2: Convert to fraction form
    270,032/590,920 = 590,920/x
  3. Step 3: Cross multiply
    270,032x = 590,920 × 590,920
  4. Step 4: Simplify right side
    270,032x = 349,186,446,400
  5. Step 5: Solve for x
    x = 349,186,446,400/270,032
  6. Step 6: Final answer
    x = 1,293,129.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.